Let A, be a system of four spin ½ particles with moments µ (or s.) all alignedwith a magnetic field B such that the energy E= - 4µB. Let Az be a secondsystem of four spin ½ particles (isolated from A,) with moments all antialignedwith respect to B such that the energy E= 4µB.(a) What is the multiplicity 2 and entropy S of cach system for this states (A1separated from A;)?(b) Suppose they are brought into thermal contact such that energy can beexchanged between them.1) What is the total energy of the combined system (energy has to be conserved)?2) What is the total multiplicity and entropy of the combined system? (Note youhave to find 2 (N,nı) for N=8 and ni spins up that consistent with this energy)

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vith a magnetic field B such that the energy E=- 4µB. Let a ystem of four spin ½ particles (isolated from A,) with mome vith respect to B such that the energy E= 4µB. a) What is the multiplicity 2 and entropy S of cach system eparated from A;)? b) Suppose they are brought into thermal contact such that e xchanged between them.

vith a magnetic field B such that the energy E=- 4µB. Let a ystem of four spin ½ particles (isolated from A,) with mome vith respect to B such that the energy E= 4µB. a) What is the multiplicity 2 and entropy S of cach system eparated from A;)? b) Suppose they are brought into thermal contact such that e xchanged between them.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

Let A, be a system of four spin ½ particles with moments µ (or s.) all aligned
with a magnetic field B such that the energy E= - 4µB. Let Az be a second
system of four spin ½ particles (isolated from A,) with moments all antialigned
with respect to B such that the energy E= 4µB.
(a) What is the multiplicity 2 and entropy S of cach system for this states (A1
separated from A;)?
(b) Suppose they are brought into thermal contact such that energy can be
exchanged between them.
1) What is the total energy of the combined system (energy has to be conserved)?
2) What is the total multiplicity and entropy of the combined system? (Note you
have to find 2 (N,nı) for N=8 and ni spins up that consistent with this energy)

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